Answer :

Sure, let's delve into the meaning of a negative sign (-) in the context of a surplus/deficit amount.

### Understanding Surplus and Deficit

1. Surplus: A surplus occurs when the income or resources of an individual, organization, or government exceed their expenditures or outflows. This means that there is leftover money or resources after all expenses have been covered.

2. Deficit: Conversely, a deficit happens when the expenditures or outflows exceed the income or resources. In this case, there is a shortfall, and additional funding or resources are required to cover all the expenses.

### Role of the Negative Sign (-)

In the context of surplus and deficit, numerical values are often used to represent these financial states. A positive value indicates a surplus, while a negative sign (-) indicates a deficit. Here’s what a negative sign signifies:

1. Expenditures Exceed Income: The negative sign indicates that the total expenditures or outflows are greater than the total income or resources. This leads to a situation where there is a lack of necessary funds.

2. Loss or Underfunding: The presence of a negative sign denotes a financial loss or underfunded position. This means the entity is operating at a loss and will need to find a way to either reduce expenses or increase income to achieve a balanced budget or surplus.

### Example Scenarios

- Positive Example: Suppose a company has an income of [tex]$100,000 and expenses of $[/tex]80,000. The resulting surplus would be [tex]$100,000 - $[/tex]80,000 = [tex]$20,000. This is a positive surplus, showing that income exceeds expenses. - Negative Example: On the other hand, if the income is $[/tex]100,000 but the expenses are [tex]$120,000, the result will be a deficit of $[/tex]100,000 - [tex]$120,000 = -$[/tex]20,000. The negative sign (-[tex]$20,000) in this case clearly indicates a deficit, meaning the expenses have overrun the income by $[/tex]20,000.

### Conclusion

To summarize, the negative sign (-) in the surplus/deficit amount indicates a financial deficit. It shows that expenditures or outflows are greater than income or resources, signaling a financial shortfall or loss. Understanding this concept is crucial for managing finances effectively and ensuring long-term financial stability.